Trigonometric Functions

Answer the following questions and please show answers on a piece of paper!

a) Explain the difference between a positive angle and a negative angle.
b) Consider the time 11:30 where the initial side is the hour hand and the terminal side is the minute hand. Draw the angle between the two hands in a standard position. State the angle in positive degrees and then restate the angle as a negative angle.
c) Draw a picture depicting the definition of a radian and in your own words, write a definition.
d) Draw a circle. Show approximate radian and degree values for every 1/8 of the circle. Show approximate values for 1, 2, 3, 4, 5, and 6 radians.
e) Create a real-world situation where you would need to calculate an arc length or area of a sector. Be creative! For example, you could calculate the distance between two cities on Earth or find the area of lawn watered by a circular sprinkler.

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